Some fractional operators with the generalized Bessel-Maitland function

DOI10.1155/2020/1378457zbMath1459.33006OpenAlexW3044602893MaRDI QIDQ2194587

Shahid Mubeen, Serkan Araci, Rana Safdar Ali, Iqra Nayab, Gauhar Rahman, Kottakkaran Sooppy Nisar

Publication date: 26 August 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1378457

Mathematics Subject Classification ID

Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (9)

Generalized Hermite-Hadamard-type integral inequalities for \(h\)-Godunova-Levin functions ⋮ Estimation of generalized fractional integral operators with nonsingular function as a kernel ⋮ FRACTIONAL CALCULUS OPERATORS OF THE PRODUCT OF GENERALIZED MODIFIED BESSEL FUNCTION OF THE SECOND TYPE ⋮ Some generalized fractional integral inequalities with nonsingular function as a kernel ⋮ Recursion formulas for certain quadruple hypergeometric functions ⋮ Dynamical significance of generalized fractional integral inequalities via convexity ⋮ Some unified integrals involving product of generalized Bessel-Maitland function and M-series ⋮ On the new bicomplex generalization of Hurwitz-Lerch zeta function with properties and applications ⋮ Unnamed Item

Cites Work

• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional differential equations for the generalized Mittag-Leffler function
• Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality
• Certain unified integrals associated with Bessel functions
• Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
• On a generalization of Mittag-Leffler function and its properties
• Arbitrary order fractional difference operators with discrete exponential kernels and applications
• Some Unified Integrals Associated with Generalized Bessel-Maitland Function
• CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
• Some properties of Prabhakar-type fractional calculus operators
• Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem
• Unified integral operator involving generalized Bessel-Maitland function
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